Error Estimates for Approximate Optimization by the Extended Ritz Method

0405000 - UIVT-O 330100 RIV US eng J - Journal Article
Kůrková, Věra - Sanguineti, M.
Error Estimates for Approximate Optimization by the Extended Ritz Method.
[Odhady chyb při přibližné optimalizaci rozšířenou Ritzovou metodou.]
SIAM Journal on Optimization. Roč. 15, č. 2 (2005), s. 461-487. ISSN 1052-6234. E-ISSN 1095-7189
R&D Projects: GA ČR GA201/02/0428
Institutional research plan: CEZ:AV0Z10300504
Keywords : functional optimization * rates of convergence of suboptimal solutions * (extended) Ritz method * curse of dimensionality * convex best approximation problems * learning from data by kernel methods
Subject RIV: BA - General Mathematics
Impact factor: 1.238, year: 2005

Cited: 16

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--- CERVELLERA, C. - GAGGERO, M. - MACCIO, D. Efficient kernel models for learning and approximate minimization problems. NEUROCOMPUTING. ISSN 0925-2312, NOV 15 2012, vol. 97, p. 74-85. [WOS]
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--- GNECCO, G. On the Curse of Dimensionality in the Ritz Method. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, FEB 2016, vol. 168, no. 2, p. 488-509. [WOS]
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--- LOTFI, A. Combination of epsilon and Ritz methods with multiscaling basis for solving a class of fractional optimal control problems. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, AUG 1 2018, vol. 366, p. 107-119. [WOS]
--- LOTFI, A. A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. ISSN 1555-1423, FEB 1 2020, vol. 15, no. 2. [WOS]
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Permanent Link: http://hdl.handle.net/11104/0125220